Birthday Polynomial Project

Birthday Polynomial Project
Today you are going to graph your own unique polynomial using the coefficients of your birthday in the form mm/dd/yy. Write your birthdate on the lines below
____ +   ____  +  ____ +   ____ +   ____ +  ____ 

For instance, if your birthday was January 1, 2001, your coefficients would be 010101
So your polynomial could be   or   
However, if your birthday was December 31, 1999, your polynomial could be  
Once you have your polynomial written correctly, choose some of the coefficients to be negative to make your polynomial even more interesting. Once you have your polynomial, graph it using technology, you may need to zoom in and out to get a better picture (some of the peaks between solutions may be very high). 
Then on a sheet of graph paper, include the following:
  • Your name and birthdate
  • Your polynomial written at the top
  • An accurate sketch of your polynomial
  • Degree & Odd/Even
  • Leading coefficient & Negative/Positive
  • Domain
  • Range
  • x-intercepts/roots/solutions/zeros (these may need to be estimated on a graphing calculator) 
  • Y-intercept
  • Intervals of increasing/decreasing
  • End behavior
  • Table including at least 10 points plugged in.
  • Color

Please make sure your graph and data are neat and free of any errors. Please include color and make it appealing to the eye. If you do not have a graphing calculator at home and require further assistance, there are plenty of apps for your phone and websites to graph and help find the x-intercepts. One I like is Desmos (on app as well as a website).


Due Monday, May 22, 2017

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